Inflection Point Engineering Calculators

Methanation / Sabatier Reactor Sizing

Adiabatic fixed-bed sizing for CO&sub2; methanation (Sabatier): CO&sub2; + 4 H&sub2; → CH&sub4; + 2 H&sub2;O. Computes catalyst volume from GHSV, vessel L & D from L/D aspect, adiabatic temperature rise, superficial velocity, and Ergun pressure drop.

Method: Catalyst volume Vcat = QNTP / GHSV with QNTP = n·22.414 Nm³/kmol. Vessel diameter from L/D: D = (4·Vcat / (π·L/D))^(1/3); L = D·(L/D). Adiabatic temperature rise ΔTad = X·nCO2·(−ΔHrxn) / (ntot·Cpmean). Gas density from ideal-gas. Pressure drop via Ergun (1952): ΔP/L = 150·μ·(1−ε)²/(Dp²·ε³)·u + 1.75·ρ·(1−ε)/(Dp·ε³)·u². Single adiabatic bed shown for screening; industrial SNG plants use 2–4 stage intercooled reactors or cooled tubular (TREMP, MAN ETOGAS) to cap Tmax < 650 °C and protect the Ni catalyst. Equilibrium conversion > 99% at T < 300 °C and P > 10 bar; kinetics-limited above 400 °C. Ergun valid for 1 < Re < 1000. References: Rönsch et al., "Review on methanation," Fuel 166 (2016); Gao et al., RSC Adv. 2 (2012); Topsoe TREMP bulletin (2010); Ergun, Chem. Eng. Prog. 48 (1952); Sabatier & Senderens (1902).